VSL 2014: VIENNA SUMMER OF LOGIC 2014

First Class Boolean Type in First-Order Theorem Proving and TPTP

Authors: Evgeny Kotelnikov, Laura Kovacs and Andrei Voronkov

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Title:First Class Boolean Type in First-Order Theorem Proving and TPTP
Authors:Evgeny Kotelnikov, Laura Kovacs and Andrei Voronkov
Proceedings:Vampire 2014 Proceedings
Editors: Laura Kovacs and Andrei Voronkov
Keywords:automated theorem proving, superposition, TPTP
Abstract:Automated analysis and verification of programs requires proving properties in the combination of first-order theories of various data structures, such as integers, arrays, or lists. Automated first-order theorem provers face new requirements from reasoning-based analysis and verification, and their efficiency largely depends on how programs are translated into a collection of logical formulas capturing the program semantics. Recent extentions to the TPTP language, the input language of automated provers, support new programming languages features aimed to keep translation-sensitive semantics on the level of the theorem prover. For example, TPTP has recently been extended with if-then-else and let-in constructs over terms and formulas. In this paper we propose to extend TPTP with the built-in first class boolean type that can facilitate translation of programs with conditional statement and simplify the treatment of if-then-else and let-in constructs of TPTP. The treatment of a built-in first class boolean type can be efficiently implemented in the Vampire theorem prover without major changes in its architecture.
Pages:1
Talk:Jul 23 17:00
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