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Complexity of Modal Logics

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This is a doctoral dissertation of Edith Spaan under the supervision of prof. Johan van Benthem.

Author(s): Edith Spaan
Publisher: University of Amsterdam
Year: 1993

Language: English
Commentary: DjVu'ed, OCR'ed, TOC by Envoy
Pages: 130

1 Introduction

2 Modal Logic and Complexity

2.1 A Bit of Modal Logic
2.2 A Bit of Complexity
2.3 Tiling Problems
2.4 Towards General Modal Complexity Results

3 The Complexity of the Join

3.1 Introduction
3.2 Upper Bound Transfer
3.3 The Power of the Join
3.4 Classification
3.5 The Complexity of the General Join
3.6 The Structure of the Join of Frames

4 Enriching the Language

4.1 Introduction
4.2 Upper Bounds
4.3 Lower Bounds
4.4 Classification

5 The Complexity of Attribute Value Logics

5.1 Introduction
5.2 Attribute Value Logic
5.3 Complexity Results for L, LN and LKR
5.4 The Universal Modality
5.5 The Master Modality
5.6 Concluding Remarks

6 Nexttime is Not Necessary

6.1 Introduction
6.2 Syntax and Semantics
6.3 From Points to Intervals
6.4 Forcing Models to be Gridlike
6.5 Variations on a Theme by Ladner and Reif
6.6 A Generic Reduction from Linear to Branching Time

Bibliography