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A semantical embedding of input/output logic in classical higher-order logic is presented. This embedding enables the mechanisation and automation of reasoning tasks in input/output logic with off-the-shelf higher-order theorem provers and…

人工智能 · 计算机科学 2018-04-20 Christoph Benzmüller , Xavier Parent

Despite recent advances in automating theorem proving in full first-order theories, inductive reasoning still poses a serious challenge to state-of-the-art theorem provers. The reason for that is that in first-order logic induction requires…

计算机科学中的逻辑 · 计算机科学 2021-06-10 Johannes Schoisswohl , Laura Kovacs

A class of models is presented, in the form of continuation monads polymorphic for first-order individuals, that is sound and complete for minimal intuitionistic predicate logic. The proofs of soundness and completeness are constructive and…

逻辑 · 数学 2014-11-04 Danko Ilik

Existing verifiable e-sortition systems are impractical due to computationally expensive verification (linear to the duration of the registration phase, T) or the ease of being denial of service. Based on the advance in verifiable delay…

密码学与安全 · 计算机科学 2020-06-25 Hsun Lee , Hsu-Chun Hsiao

The last decade has witnessed an increasing transformation in the design, engineering, and mining of processes, moving from a pure control-flow perspective to more integrated models where also data and decisions are explicitly considered.…

计算机科学中的逻辑 · 计算机科学 2018-04-09 Massimiliano de Leoni , Paolo Felli , Marco Montali

Model selection aims to identify a sufficiently well performing model that is possibly simpler than the most complex model among a pool of candidates. However, the decision-making process itself can inadvertently introduce non-negligible…

统计方法学 · 统计学 2024-08-08 Yann McLatchie , Aki Vehtari

A reliable technique for deductive program verification should be proven sound with respect to the semantics of the programming language. For each different language, the construction of a separate soundness proof is often a laborious…

编程语言 · 计算机科学 2021-08-05 Ximeng Li , Qianying Zhang , Guohui Wang , Zhiping Shi , Yong Guan

The safety of automated driving systems must be justified by convincing arguments and supported by compelling evidence to persuade certification agencies, regulatory entities, and the general public to allow the systems on public roads.…

软件工程 · 计算机科学 2024-10-28 Jonas Krook , Yuvaraj Selvaraj , Wolfgang Ahrendt , Martin Fabian

We enumerate total cyclic orders on $\left\{1,\ldots,n\right\}$ where we prescribe the relative cyclic order of consecutive triples $(i,{i+1},{i+2})$, these integers being taken modulo $n$. In some cases, the problem reduces to the…

组合数学 · 数学 2020-07-10 Sanjay Ramassamy

Cirquent calculus is a new proof-theoretic and semantic approach introduced by G.Japaridze for the needs of his theory of computability logic. The earlier article "From formulas to cirquents in computability logic" by Japaridze generalized…

计算机科学中的逻辑 · 计算机科学 2014-09-12 Wenyan Xu

We introduce a high-level language with Python-like syntax for string-to-string, polyregular, first-order definable transductions. This language features function calls, boolean variables, and nested for-loops. We devise and implement a…

形式语言与自动机理论 · 计算机科学 2025-05-16 Aliaume Lopez , Rafał Stefański

We describe a suite of validation metrics that assess the credibility of a given automatic spike sorting algorithm applied to a given electrophysiological recording, when ground-truth is unavailable. By rerunning the spike sorter two or…

神经元与认知 · 定量生物学 2015-08-28 Alex H. Barnett , Jeremy F. Magland , Leslie F. Greengard

State-of-the-art attacks against cyclic logic obfuscation use satisfiability solvers that are equipped with a set of cycle avoidance clauses. These cycle avoidance clauses are generated in a pre-processing step and define various key…

密码学与安全 · 计算机科学 2020-01-27 Shervin Roshanisefat , Hadi Mardani Kamali , Houman Homayoun , Avesta Sasan

Inductive theorem proving is an important long-standing challenge in computer science. In this extended abstract, we first summarize the recent developments of proof by induction for Isabelle/HOL. Then, we propose united reasoning, a novel…

人工智能 · 计算机科学 2020-05-27 Yutaka Nagashima

Automated theorem provers have traditionally relied on manually tuned heuristics to guide how they perform proof search. Deep reinforcement learning has been proposed as a way to obviate the need for such heuristics, however, its deployment…

In this work we describe a new learning-based proof guidance -- ENIGMAWatch -- for saturation-style first-order theorem provers. ENIGMAWatch combines two guiding approaches for the given-clause selection implemented for the E ATP system:…

人工智能 · 计算机科学 2019-08-26 Zarathustra Goertzel , Jan Jakubův , Josef Urban

The automated proof search system and decidability for logic of correlated knowledge is presented in this paper. The core of the proof system is the sequent calculus with the properties of soundness, completeness, admissibility of cut and…

计算机科学中的逻辑 · 计算机科学 2019-02-26 Haroldas Giedra , Romas Alonderis

Formal verification using the model checking paradigm has to deal with two aspects: The system models are structured, often as products of components, and the specification logic has to be expressive enough to allow the formalization of…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Stefan Wöhrle , Wolfgang Thomas

Possibilistic logic is a well-known graded logic of uncertainty suitable to reason under incomplete information and partially inconsistent knowledge, which is built upon classical first order logic. There exists for Possibilistic logic a…

人工智能 · 计算机科学 2013-01-31 Teresa Alsinet , Lluis Godo , Sandra Sandri

Chain-of-Thought (CoT) prompting has improved LLM reasoning, but models often generate explanations that appear coherent while containing unfaithful intermediate steps. Existing self-evaluation approaches are prone to inherent biases: the…

人工智能 · 计算机科学 2026-04-21 Yuxi Sun , Aoqi Zuo , Haotian Xie , Wei Gao , Mingming Gong , Jing Ma