Scalable Fine-Grained Proofs for Formula Processing

Abstract : We present a framework for processing formulas in automatic theorem provers, with generation of detailed proofs. The main components are a generic contextual recursion algorithm and an extensible set of inference rules. Clausification, skolemization, theory-specific simplifications, and expansion of 'let' expressions are instances of this framework. With suitable data structures, proof generation adds only a linear-time overhead, and proofs can be checked in linear time. We implemented the approach in the SMT solver veriT. This allowed us to dramatically simplify the code base while increasing the number of problems for which detailed proofs can be produced, which is important for independent checking and reconstruction in proof assistants.
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Contributor : Haniel Barbosa <>
Submitted on : Tuesday, May 23, 2017 - 3:42:40 PM
Last modification on : Tuesday, February 19, 2019 - 3:40:04 PM
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Haniel Barbosa, Jasmin Blanchette, Pascal Fontaine. Scalable Fine-Grained Proofs for Formula Processing. [Research Report] Universite de Lorraine, CNRS, Inria, LORIA, Nancy, France; Universidade Federal do Rio Grande do Norte, Natal, Brazil; Vrije Universiteit Amsterdam, Amsterdam, The Netherlands; Max-Planck-Institut für Informatik, Saarbrücken, Germany. 2017, pp.25. ⟨hal-01526841⟩



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