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arXiv · 2607.20249

Towards Relating Ciao Assertions and LPTP Theorems

Marco Pérez·Pedro López-García·Jose F. Morales·Manuel V. Hermenegildo·Fred Mesnard
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Abstract

Abstract interpretation-based verification is a central component of the Ciao Prolog system, enabling expressive specifications of properties of programs, predicates, and execution states. Independently, the LPTP (Logic Programming Theorem Proving) framework offers a first-order logical formalism for expressing and proving properties of predicates. In this paper, we address a fundamental issue in relating these two frameworks: studying the translation of Ciao assertions into LPTP formulae and identifying a partial correspondence between assertion-based and logic-based specifications. We introduce a systematic translation scheme, characterize assertion classes according to their logical encodability, and propose approximation strategies and auxiliary constructs for non-translatable cases, and finally analyze the resulting soundness and completeness trade-offs. We argue that our proposal enables a tight integration of Ciao's assertion checking with LPTP-based deductive verification, thereby leveraging their complementary capabilities.

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Marco Pérez, Pedro López-García, Jose F. Morales, Manuel V. Hermenegildo, Fred Mesnard. 2026-07-22. Towards Relating Ciao Assertions and LPTP Theorems. https://doi.org/10.4204/eptcs.450.18

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