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(in-package "DJVM")
(include-book "../main/djvm-simple")
(include-book "../main/m6-simple")
(include-book "../DJVM/consistent-state-bcv-on-track")
(include-book "../BCV/typechecker-simple")
;;; the way of introducing make it is not easy to use
;;;
;;; Instead we should have asserted suitable properties on the scl
;;;
;; (encapsulate ()
;; (local (include-book "base-bcv-check-monotonic"))
;; (defthm sig-check-AALOAD-on-more-general-implies-more-specific
;; (implies (and (bcv::good-icl icl)
;; (bcv::good-scl (bcv::classtableEnvironment env1))
;; (bcv::sig-frame-more-general gframe sframe env1)
;; (bcv::consistent-sig-stack (bcv::frameStack gframe) icl)
;; (bcv::consistent-sig-stack (bcv::frameStack sframe) icl)
;; (not (equal (bcv::nth1OperandStackIs 2 sframe) 'NULL)) ;; added
;; (not (equal (bcv::nth1OperandStackIs 2 gframe) 'NULL))
;; (bcv::check-AALOAD inst env1 gframe)
;; (bcv::icl-scl-compatible icl (bcv::classtableEnvironment env1)))
;; (bcv::check-AALOAD inst env1 sframe))))
;;
;; How to use the above lemma!!! we need to come up with an ICL that
;; consistent-sig-stack can be established!!
;;
;;
;; not easily to be monotonic.... ?? Sat Jan 7 00:01:44 2006
;;
;; when it is not monotonic, it throws an exception...
;;
;; if the specific is of NULL type BCV::check-AALOAD may fail, even though
;; BCV::check-AALOAD succeed on the general type, however, we know that during
;; execution, such cases will be caught by runtime checking.
;;
;; So even the type::checking is not purely monotonic, that is OK!!
;;
;;
;; (encapsulate ()
;; (local (include-book "base-bcv"))
;; (defthm bcv-check-aaload-ensures-djvm-check-aaload
;; (implies (and (bcv::check-AALOAD inst (env-sig s)
;; (frame-sig (current-frame s)
;; (instance-class-table s)
;; (heap s)
;; (heap-init-map (aux s))))
;; (wff-inst inst)
;; (not (mem '*native* (method-accessflags (current-method s))))
;; (consistent-state s))
;; (djvm::check-AALOAD inst s))))
;; (defthm check-AALOAD-implies-guard-succeeds
;; (implies (and (consistent-state-strong s)
;; (check-AALOAD inst s))
;; (AALOAD-guard inst s)))
;; (encapsulate ()
;; (local (include-book "base-state-equiv"))
;; (defthm equal-AALOAD-when-guard-succeeds
;; (implies (and (AALOAD-guard inst djvm::djvm-s)
;; (state-equiv m6::m6-s djvm::djvm-s))
;; (state-equiv (m6::execute-AALOAD inst m6::m6-s)
;; (djvm::execute-AALOAD inst djvm::djvm-s)))))
(defthm consistent-state-bcv-on-track-implies-bcv-good-scl-strong
(implies (consistent-state-bcv-on-track s)
(bcv::good-scl-strong (env-class-table (env s)))))
(defthm consistent-state-bcv-on-track-implies-good-icl
(implies (consistent-state-bcv-on-track s)
(bcv::good-icl (bcv::icl-witness-x (env-class-table (env s)))))
:hints (("Goal" :in-theory (disable bcv::good-icl
consistent-state-bcv-on-track))))
(defthm consistent-state-bcv-on-track-implies-icl-scl-compatible
(implies (consistent-state-bcv-on-track s)
(bcv::icl-scl-compatible
(bcv::icl-witness-x (env-class-table (env s)))
(bcv::classtableEnvironment (env-sig s))))
:hints (("Goal" :in-theory (disable bcv::good-icl
bcv::icl-scl-compatible
consistent-state-bcv-on-track))))
;
; intuitively icl-witness-x will be the instance class table that has
; everything loaded!!!
;
;
; in the process of the making use of
;
; sig-check-AALOAD-on-more-general-implies-more-specific
;
; we will relieve the hypothesis that uses icl!!
;
(skip-proofs
(defthm consistent-state-bcv-on-track-implies-instructionIsTypeSafe
(implies (consistent-state-bcv-on-track djvm::djvm-s)
(bcv::instructionIsTypeSafe (next-inst djvm::djvm-s)
(env-sig djvm::djvm-s)
(bcv::searchStackFrame
(pc djvm::djvm-s)
(bcv::stack-map-wrap
(stack-maps-witness (method-ptr
(current-frame s))
(env-class-table (env s)))))))))
(skip-proofs
(defthm consistent-state-bcv-on-track-consistent-state-strong-sig-frame-more-general
(implies (and (consistent-state-bcv-on-track s)
(consistent-state-strong s))
(bcv::sig-frame-more-general
(bcv::searchStackFrame
(pc s)
(bcv::stack-map-wrap
(stack-maps-witness (method-ptr
(current-frame s))
(env-class-table (env s)))))
(frame-sig (current-frame s)
(instance-class-table s)
(heap s)
(heap-init-map (aux s)))
(env-sig s)))))
;----------------------------------------------------------------------
(skip-proofs
(defthm consistent-state-strong-implies-consistent-sig-operand-stack
(implies (and (consistent-state-strong s)
(consistent-state-bcv-on-track s))
(bcv::consistent-sig-stack
(bcv::frameStack (frame-sig
(current-frame s)
(instance-class-table s)
(heap s)
(heap-init-map (aux s))))
(bcv::icl-witness-x (env-class-table (env s)))))))
(skip-proofs
(defthm consistent-state-strong-implies-consistent-sig-operand-stack-recorded-frame
(implies (and (consistent-state-strong s)
(consistent-state-bcv-on-track s))
(bcv::consistent-sig-stack
(bcv::framestack
(bcv::searchStackFrame
(pc djvm::djvm-s)
(bcv::stack-map-wrap
(stack-maps-witness (method-ptr
(current-frame s))
(env-class-table (env s))))))
(bcv::icl-witness-x (env-class-table (env s)))))))
;----------------------------------------------------------------------
;; still need to do a case split on when frame-sig is null
;;
(skip-proofs
(defthm not-nullp-not-sig-value-NULL
(implies (case-split (not (nullp (topStack (popstack s)))))
(not (equal (bcv::nth1OperandStackIs 2
(frame-sig (current-frame s)
(instance-class-table s)
(heap s)
(heap-init-map (aux s))))
'NULL)))))
(skip-proofs
(defthm sig-frame-more-general-not-null-not-null
(implies (and (not (equal (bcv::nth1OperandStackIs 2
(frame-sig (current-frame s)
(instance-class-table s)
(heap s)
(heap-init-map (aux s))))
'NULL))
(bcv::sig-frame-more-general
gframe
(frame-sig (current-frame s)
(instance-class-table s)
(heap s)
(heap-init-map (aux s)))
(env-sig s)))
(not (equal (bcv::nth1OperandStackIs 2 gframe) 'NULL)))))
; now we can make use of the leaf lemmas!
(defthm sig-frame-more-general-not-null-not-null-specific
(implies (and (not (equal (bcv::nth1OperandStackIs 2
(frame-sig (current-frame s)
(instance-class-table s)
(heap s)
(heap-init-map (aux s))))
'NULL))
(bcv::sig-frame-more-general
(bcv::searchStackFrame (pc s)
(bcv::stack-map-wrap
(stack-maps-witness (method-ptr
(current-frame s))
(env-class-table (env s)))))
(frame-sig (current-frame s)
(instance-class-table s)
(heap s)
(heap-init-map (aux s)))
(env-sig s)))
(not (equal (bcv::nth1OperandStackIs 2
(bcv::searchStackFrame (pc s)
(bcv::stack-map-wrap
(stack-maps-witness (method-ptr
(current-frame s))
(env-class-table
(env
s))))))
'NULL)))
:hints (("Goal" :use ((:instance sig-frame-more-general-not-null-not-null
(gframe (bcv::searchStackFrame (pc s)
(bcv::stack-map-wrap
(stack-maps-witness (method-ptr
(current-frame s))
(env-class-table (env s)))))))))))
(local (in-theory (disable sig-frame-more-general-not-null-not-null)))
(skip-proofs
(defthm consistent-state-strong-implies-good-scl
(implies (consistent-state-strong s)
(bcv::good-scl (bcv::classtableEnvironment (env-sig s))))))
(encapsulate ()
(local (include-book "on-track-with-bcv-implies-next-inst-in-range"))
(defthm consistent-state-strong-implies-wff-inst-next-inst
(IMPLIES (and (CONSISTENT-STATE-STRONG djvm-S)
(consistent-state-bcv-on-track djvm-s))
(WFF-INST (NEXT-INST djvm-S)))))
(skip-proofs
(defthm consistent-state-strong-implies-not-native-code
(implies (consistent-state-strong djvm-s)
(NOT (MEM '*NATIVE* (METHOD-ACCESSFLAGS (CURRENT-METHOD DJVM-S)))))))
;----------------------------------------------------------------------
;----------------------------------------------------------------------
(local (in-theory (disable consistent-state-bcv-on-track
state-equiv
next-inst
frame-sig
env-sig
consistent-state-strong
bcv::classtableEnvironment
bcv::sig-frame-more-general
bcv::good-icl
bcv::nth1OperandStackIs
(bcv::nth1OperandStackIs)
bcv::good-scl
bcv::op-code
env-class-table
bcv::framestack
bcv::searchStackFrame
stack-maps-witness
bcv::icl-scl-compatible
m6::execute-AALOAD
djvm::execute-AALOAD
djvm::check-AALOAD
bcv::check-AALOAD
code-instrs
AALOAD-guard)))
;; (defthm sig-check-AALOAD-on-more-general-implies-more-specific
;; (implies (and (bcv::good-icl icl)
;; (bcv::good-scl (bcv::classtableEnvironment env1))
;; (bcv::sig-frame-more-general gframe sframe env1)
;; (bcv::consistent-sig-stack (bcv::frameStack gframe) icl)
;; (bcv::consistent-sig-stack (bcv::frameStack sframe) icl)
;; (not (equal (bcv::nth1OperandStackIs 2 sframe) 'NULL)) ;; added
;; (not (equal (bcv::nth1OperandStackIs 2 gframe) 'NULL))
;; (bcv::check-AALOAD inst env1 gframe)
;; (bcv::icl-scl-compatible icl (bcv::classtableEnvironment env1)))
;; (bcv::check-AALOAD inst env1 sframe))))
(defthm instructionIsTypeSafe-and-is-inst-aaload-check-aaload
(implies (and (bcv::instructionIsTypeSafe inst env cur)
(equal (bcv::op-code inst) 'AALOAD))
(bcv::check-AALOAD inst env cur)))
(skip-proofs
(defthm if-nullp-reduce-aaload
(implies (and (nullp (topStack (popstack s)))
(equal (bcv::op-code inst) 'AALOAD))
(equal (execute-aaload inst s)
(raise-exception "java.lang.NullPointerException" s)))))
(skip-proofs
(defthm if-nullp-reduce-aaload-m6
(implies (and (equal (topStack (popstack s)) -1)
(equal (bcv::op-code inst) 'AALOAD))
(equal (m6::execute-aaload inst s)
(m6::raise-exception "java.lang.NullPointerException" s)))))
(skip-proofs
(defthm nullp-implies-value-1
(implies (and (state-equiv m6::m6-s djvm::djvm-s)
(nullp (topStack (popstack djvm::djvm-s))))
(equal (topStack (popstack m6::m6-s)) -1))))
(skip-proofs
(defthm state-equiv-raise-exception
(implies (state-equiv m6::m6-s djvm::djvm-s)
(state-equiv (jvm::raise-exception any m6::m6-s)
(djvm::raise-exception any djvm::djvm-s)))))
(defthm on-track-with-BCV-implies-step-AALOAD
(implies (and (consistent-state-strong djvm::djvm-s)
(consistent-state-bcv-on-track djvm::djvm-s)
(equal (next-inst djvm::djvm-s) inst)
(equal (bcv::op-code inst) 'AALOAD)
(state-equiv m6::m6-s djvm::djvm-s))
(state-equiv (m6::execute-AALOAD inst m6::m6-s)
(djvm::execute-AALOAD inst djvm::djvm-s)))
:hints (("Goal" :cases ((nullp (topStack (popstack djvm::djvm-s))))
:restrict
((sig-check-AALOAD-on-more-general-implies-more-specific
((icl (bcv::icl-witness-x (env-class-table (env djvm::djvm-s))))
(gframe (bcv::searchStackFrame
(pc djvm::djvm-s)
(bcv::stack-map-wrap
(stack-maps-witness (method-ptr
(current-frame djvm::djvm-s))
(env-class-table (env
djvm::djvm-s))))))))))))
;----------------------------------------------------------------------
(skip-proofs
(defthm step-preserve-state-equiv
(implies (and (consistent-state-strong djvm-s)
(consistent-state-bcv-on-track djvm-s)
(state-equiv m6::m6-s djvm::djvm-s)
(bcv::verifyAll (external-class-table djvm-s)
(external-class-table djvm-s))
(equal (next-inst djvm::djvm-s) inst))
(state-equiv (m6::m6-step inst m6::m6-s)
(djvm::djvm-step inst djvm::djvm-s)))))
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