A Machine-Level Interpretation of Deductive Rules on Enact I and Enact II Model Theorems.

This research proposal is on provable forms based on s yntactic theorem using Kleene Axiom schema. Enact model I and II of propositional formulas from enactment logic are proven in terms of theorems based on deductive rules. Work proves by deduction rules that Enact Model I and II are model theorems[1] in machinelevel interpretation. Enactprover is a machine program for reading and writing Kleene theorem proving axioms based one enactment logic.

Report on engineering for system development on Enactprover

This research poster is on provable forms based on syntactic theorem using Kleene Axiom schema. Enact model I and II of propositional formulas from enactment logic are proven in terms of theorems based on deductive rules. Work proves by deduction rules that Enact Model I and II are model theorems in machine- level interpretation. Enactprover is a machine program for reading and writing Kleene theorem proving axioms based on enactment logic.

A KLEENE THEOREM FOR BISEMIGROUP AND BINOID LANGUAGES

A bisemigroup is a set with two associative operations. Subsets of free bisemigroups are called bisemigroup languages. Recognizable, regular and MSO-definable bisemigroup languages have been studied earlier, and these classes are known to be equal. In this paper we prove a Kleene theorem for bisemigroup languages, namely we show that the class of recognizable bisemigroup languages is the least class which contains the finite languages and closed under the operations of union, horizontal and vertical product, horizontal and vertical iteration, ξ-substitution and a restricted version of the the ξ-iteration. We extend our result to binoid languages, i.e., to subsets of free algebras, where the two associative operations share a common identity element.