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This paper presents a formal framework for sequencing instructions in AI agents, inspired by the Indian philosophical system of Mimamsa. The framework formalizes sequencing mechanisms through action object pairs in three distinct ways:…

Logic in Computer Science · Computer Science 2025-10-21 Bama Srinivasan

The determinization of Buchi automata is a celebrated problem, with applications in synthesis, probabilistic verification, and multi-agent systems. Since the 1960s, there has been a steady progress of constructions: by McNaughton, Safra,…

Formal Languages and Automata Theory · Computer Science 2013-07-18 Seth Fogarty , Orna Kupferman , Moshe Y. Vardi , Thomas Wilke

It is difficult to create robust, reusable, and reactive behaviors for robots that can be easily extended and combined. Frameworks such as Behavior Trees are flexible but difficult to characterize, especially when designing reactions and…

Robotics · Computer Science 2019-08-07 Chris Paxton , Nathan Ratliff , Clemens Eppner , Dieter Fox

Students find their first course in Formal Languages and Automata Theory challenging. In addition to the development of formal arguments, most students struggle to understand nondeterministic computation models. In part, the struggle stems…

Programming Languages · Computer Science 2023-10-24 Oliwia Kempinski , Marco T. Morazán

In this paper we describe an approach to constraint-based syntactic theories in terms of finite tree automata. The solutions to constraints expressed in weak monadic second order (MSO) logic are represented by tree automata recognizing the…

cmp-lg · Computer Science 2008-02-03 Frank Morawietz , Tom Cornell

We present a tractable method for synthesizing arbitrarily large concurrent programs, for a shared memory model with common hardware-available primitives such as atomic registers, compare-and-swap, load-linked/store conditional, etc. The…

Logic in Computer Science · Computer Science 2008-01-14 Paul C. Attie

We present a novel decision tree-based synthesis algorithm of ranking functions for verifying program termination. Our algorithm is integrated into the workflow of CounterExample Guided Inductive Synthesis (CEGIS). CEGIS is an iterative…

Logic in Computer Science · Computer Science 2021-07-06 Satoshi Kura , Hiroshi Unno , Ichiro Hasuo

This work presents a dual-agent \ac{llm}-based reasoning framework for automated planar mechanism synthesis that tightly couples linguistic specification with symbolic representation and simulation. From a natural-language task description,…

Artificial Intelligence · Computer Science 2025-10-09 João Pedro Gandarela , Thiago Rios , Stefan Menzel , André Freitas

Within the area of multi-agent systems, normative systems are a widely used framework for the coordination of interdependent activities. A crucial problem associated with normative systems is that of synthesising norms that effectively…

Multiagent Systems · Computer Science 2017-10-16 Javier Morales , Michael Wooldridge , Juan A. Rodríguez-Aguilar , Maite López-Sánchez

Contract automata allow to formally define the behaviour of service contracts in terms of service offers and requests, some of which are moreover optional and some of which are necessary. A composition of contracts is said to be in…

Formal Languages and Automata Theory · Computer Science 2023-08-24 Davide Basile , Maurice H. ter Beek

Automatic software generation based on some specification is known as program synthesis. Most existing approaches formulate program synthesis as a search problem with discrete parameters. In this paper, we present a novel formulation of…

Artificial Intelligence · Computer Science 2023-04-04 Shantanu Mandal , Todd A. Anderson , Javier Turek , Justin Gottschlich , Abdullah Muzahid

In program synthesis, we transform a specification into a program that is guaranteed to satisfy the specification. In synthesis of reactive systems, the environment in which the program operates may behave nondeterministically, e.g., by…

Logic in Computer Science · Computer Science 2013-07-25 Ron van der Meyden , Moshe Y. Vardi

Increasing demands in software industry and scarcity of software engineers motivates researchers and practitioners to automate the process of software generation and configuration. Large scale automatic software generation and configuration…

Software Engineering · Computer Science 2023-05-31 Shantanu Mandal

In the context of structure-to-structure transformation tasks, learning sequences of discrete symbolic operations poses significant challenges due to their non-differentiability. To facilitate the learning of these symbolic sequences, we…

Computation and Language · Computer Science 2023-06-02 Paul Soulos , Edward Hu , Kate McCurdy , Yunmo Chen , Roland Fernandez , Paul Smolensky , Jianfeng Gao

Automatically creating a computer program using input-output examples can be a challenging task, especially when trying to synthesize computer programs that require loops or recursion. Even though the use of recursion can make the…

Programming Languages · Computer Science 2024-06-04 Matheus Campos Fernandes , Fabrício Olivetti de França , Emilio Francesquini

We present a method to eliminate redundancy in the transition tables of Boolean automata: schema redescription with two symbols. One symbol is used to capture redundancy of individual input variables, and another to capture permutability in…

Cellular Automata and Lattice Gases · Physics 2015-03-18 Manuel Marques-Pita , Luis M. Rocha

In this paper, we introduce a novel rule for synthesis of reactive systems, applicable to systems made of n components which have each their own objectives. It is based on the notion of admissible strategies. We compare our novel rule with…

Logic in Computer Science · Computer Science 2015-07-03 Romain Brenguier , Jean-François Raskin , Ocan Sankur

We show how to systematically implement an algorithm in any imperative or functional programming language. The method is based on the premise that it is easy to write down how an algorithm proceeds on a concrete input. This…

Software Engineering · Computer Science 2020-04-28 Maurice Chandoo

An inductive theorem proving method for constrained term rewriting systems, which is based on rewriting induction, needs a decision procedure for reduction-completeness of constrained terms. In addition, the sufficient complete property of…

Formal Languages and Automata Theory · Computer Science 2013-11-25 Naoki Nishida , Masahiko Sakai , Yasuhiro Nakano

The $n$th term of an automatic sequence is the output of a deterministic finite automaton fed with the representation of $n$ in a suitable numeration system. In this paper, instead of considering automatic sequences built on a numeration…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Michel Rigo , Manon Stipulanti