© 2015

Freedom and Enforcement in Action

A Study in Formal Action Theory

  • First volume on action theory to synthesize a range of approaches to the topic

  • Directly tackles the fundamental theoretical issue of performability

  • Offers the latest research in a subject at the nexus of logic, linguistics, artificial intelligence, automata theory, jurisprudence, deontology and economics


Part of the Trends in Logic book series (TREN, volume 42)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Elements of Formal Action Theory

    1. Front Matter
      Pages 1-1
    2. Janusz Czelakowski
      Pages 3-62
    3. Janusz Czelakowski
      Pages 63-114
    4. Janusz Czelakowski
      Pages 115-140
  3. Freedom and Enforcement in Action

    1. Front Matter
      Pages 141-141
    2. Janusz Czelakowski
      Pages 143-193
    3. Janusz Czelakowski
      Pages 195-208
    4. Janusz Czelakowski
      Pages 209-245
  4. Back Matter
    Pages 247-261

About this book


Action theory is the object of growing attention in a variety of scientific disciplines, and this is the first volume to offer a synthetic view of the range of approaches possible in the topic. The volume focuses on the nexus of formal action theory with a startlingly diverse set of subjects, which range from logic, linguistics, artificial intelligence, and automata theory to jurisprudence, deontology, and economics. It covers semantic, mathematical and logical aspects of action, showing how the problem of action breaks the boundaries of traditional branches of logic located in syntactics and semantics and now lies on lies on the borderline between logical pragmatics and praxeology.  

The chapters here focus on specialized tasks in formal action theory, beginning with a thorough description and formalization of the language of action, and moving through material on the differing models of action theory to focus on probabilistic models, the relations of formal action theory to deontic logic, and its key applications in algorithmic and programming theory. The coverage thus fills a notable lacuna in the literary corpus, and offers solid formal underpinning in cognitive science by approaching the problem of cognition as a composite action of mind.​


action and models for non-monotonic reasonings actions and their agents atomic norms compound actions compound actions and deontology deontic logic fixed-point theorems for relations games as action systems iterative algorithms knowledge models models of action theory norms and their semantics partially ordered sets performability and probability performability of actions programs and actions pushdown algorithms stit semantics the frame problem theory of algorithms and programming

Authors and affiliations

  1. 1.University of Opole Department of Mathematics and InformaticsOpolePoland

Bibliographic information


“To the best of my knowledge, this is the first book that brings together this many aspects of how to deal with actions. … As an introduction to action theory, this book offers a reasonable graduate course. It may be of interest to, among others, logicians, model theorists, mathematicians and computer scientists. The book is indeed also useful to researchers interested in model-theoretic and logical aspects of action theory.” (Bruno Lopes, Mathematical Reviews, January, 2017)