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/*==========================================================================*/
/* Sail */
/* */
/* Sail and the Sail architecture models here, comprising all files and */
/* directories except the ASL-derived Sail code in the aarch64 directory, */
/* are subject to the BSD two-clause licence below. */
/* */
/* The ASL derived parts of the ARMv8.3 specification in */
/* aarch64/no_vector and aarch64/full are copyright ARM Ltd. */
/* */
/* Copyright (c) 2013-2021 */
/* Kathyrn Gray */
/* Shaked Flur */
/* Stephen Kell */
/* Gabriel Kerneis */
/* Robert Norton-Wright */
/* Christopher Pulte */
/* Peter Sewell */
/* Alasdair Armstrong */
/* Brian Campbell */
/* Thomas Bauereiss */
/* Anthony Fox */
/* Jon French */
/* Dominic Mulligan */
/* Stephen Kell */
/* Mark Wassell */
/* Alastair Reid (Arm Ltd) */
/* */
/* All rights reserved. */
/* */
/* This work was partially supported by EPSRC grant EP/K008528/1 <a */
/* href="http://www.cl.cam.ac.uk/users/pes20/rems">REMS: Rigorous */
/* Engineering for Mainstream Systems</a>, an ARM iCASE award, EPSRC IAA */
/* KTF funding, and donations from Arm. This project has received */
/* funding from the European Research Council (ERC) under the European */
/* Union’s Horizon 2020 research and innovation programme (grant */
/* agreement No 789108, ELVER). */
/* */
/* This software was developed by SRI International and the University of */
/* Cambridge Computer Laboratory (Department of Computer Science and */
/* Technology) under DARPA/AFRL contracts FA8650-18-C-7809 ("CIFV") */
/* and FA8750-10-C-0237 ("CTSRD"). */
/* */
/* SPDX-License-Identifier: BSD-2-Clause */
/*==========================================================================*/
$ifndef _SMT
$define _SMT
// see http://smtlib.cs.uiowa.edu/theories-Ints.shtml
/*! Euclidean division */
val ediv_int = pure {
ocaml: "quotient",
interpreter: "quotient",
lem: "integerDiv",
coq: "ZEuclid.div",
lean: "Int.ediv",
_: "ediv_int"
} : forall 'n 'm. (int('n), int('m)) -> int(div('n, 'm))
val emod_int = pure {
ocaml: "modulus",
interpreter: "modulus",
lem: "integerMod",
coq: "ZEuclid.modulo",
lean: "Int.emod",
_: "emod_int"
} : forall 'n 'm. (int('n), int('m)) -> int(mod('n, 'm))
val abs_int_atom = pure {
ocaml: "abs_int",
interpreter: "abs_int",
lem: "integerAbs",
coq: "Z.abs",
lean: "Int.natAbs",
_: "abs_int"
} : forall 'n. int('n) -> int(abs('n))
overload abs_int = {abs_int_atom}
$ifdef TEST
let __smt_x : int(div(4, 2)) = div(8, 4)
$endif
$endif
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