Defining by Structural Induction in the Positive Propositional Language
نویسنده
چکیده
The main goal of the paper consists in proving schemes for defining by structural induction in the language defined by Adam Grabowski [11]. The article consists of four parts. Besides the preliminaries where we prove some simple facts still missing in the library, they are: “About the language” in which the consequences of the fact that the algebra of formulae is free are formulated, “Defining by structural induction” in which two schemes are proved, “The tree of the subformulae” in which a scheme proved in the previous section is used to define the tree of subformulae; also some simple facts about the tree are proved.
منابع مشابه
Establishing Propositional Relations in Reading Stories
This study examined the establishment of coherence relations by Persian EFL learners in their reading of stories. 201 undergraduate EFL learners read narrative passages and selected appropriate coherence elements of different types necessary for the proper construction of meaning. The results demonstrated a consistent pattern of a text-specific hierarchy for the comprehension of conjunctive rel...
متن کاملA First Order Language
In the paper a first order language is constructed. It includes the universal quantifier and the following propositional connectives: truth, negation, and conjunction. The variables are divided into three kinds: bound variables, fixed variables, and free variables. An infinite number of predicates for each arity is provided. Schemes of structural induction and schemes justifying definitions by ...
متن کاملDynamic Logic for Plan Revision in Intelligent Agents
In this paper, we present a dynamic logic for a propositional version of the agent programming language 3APL. A 3APL agent has beliefs and a plan. The execution of a plan changes an agent’s beliefs. Plans can be revised during execution. Due to these plan revision capabilities of 3APL agents, plans cannot be analyzed by structural induction as in for example standard propositional dynamic logic...
متن کاملCoding Stance through it bundles: The case of applied linguistics
Abstract The study of linguistic devices variously referred to as stance expressions is one of the best means by which the relationship between the writer, the reader, and propositional meaning could be examined. This paper looks at a particular structural group of lexical bundles encoding stance expressions. These are bundles starting with an anticipatory it followed by is, a predicative adjec...
متن کاملCoding Stance through it bundles: The case of applied linguistics
Abstract The study of linguistic devices variously referred to as stance expressions is one of the best means by which the relationship between the writer, the reader, and propositional meaning could be examined. This paper looks at a particular structural group of lexical bundles encoding stance expressions. These are bundles starting with an anticipatory it followed by is, a predicative adjec...
متن کامل